{
  "id": "1406.3691",
  "version": "v1",
  "published": "2014-06-14T06:55:54.000Z",
  "updated": "2014-06-14T06:55:54.000Z",
  "title": "Well-posedness for the FENE dumbbell model of polymetric flows in Besov spaces",
  "authors": [
    "Wei Luo",
    "Zhaoyang Yin"
  ],
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper we mainly investigate the Cauchy problem of the finite extensible nonlinear elastic (FENE) dumbbell model with dimension $d\\geq2$. We first proved the local well-posedness for the FENE model in Besov spaces by using the Littlewood-Paley theory. Then by an accurate estimate we get a blow-up criterion. Moreover, if the initial data is perturbation around equilibrium, we obtain a global existence result. Our obtained results generalize recent results in [8].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-06-14T06:55:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fene dumbbell model",
      "besov spaces",
      "polymetric flows",
      "global existence result",
      "finite extensible nonlinear elastic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1406.3691L"
    }
  }
}